Monotone method for fuzzy differential equations

Rosana Rodriguez-Lopez

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Monotone method for fuzzy differential equations

机译：模糊微分方程的单调方法

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摘要

We develop the monotone iterative technique to approximate the extremal solutions for the initial value problem relative to a fuzzy differential equation in a fuzzy functional interval. To our procedure, it is crucial to have at our disposal fuzzy comparison results and several properties of sets of fuzzy functions and fuzzy numbers, including a compactness result in spaces of fuzzy functions, which are useful from the point of view of applications.

机译：我们开发了单调迭代技术来近似初值问题的极值解，相对于模糊函数区间中的模糊微分方程。对于我们的程序，至关重要的是要有模糊比较结果以及模糊函数和模糊数集的若干属性，包括在模糊函数空间中的紧致性，这对于应用程序而言是有用的。

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来源
《Fuzzy sets and systems》 |2008年第16期|p.2047-2076|共30页
作者
Rosana Rodriguez-Lopez;
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作者单位

Departamento de Analisis Matematico, Facultad de Matematicas, Universidad de Santiago de Compostela, 15782, Santiago de Compostela, Spain;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类模糊数学;
关键词
fuzzy differential equation; fuzzy initial value problem; fuzzy maximum principle; fuzzy lower and upper solutions; monotone method;

机译：模糊微分方程;模糊初值问题;模糊最大值原理;模糊上下解;单调法;

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1. Monotone iterative method for boundary value problems of fuzzy differential equations [J] . Wang Hongzhou Journal of intelligent & fuzzy systems: Applications in Engineering and Technology . 2016,第2期

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2. A Numerical Method for Fuzzy Differential Equations and Hybrid Fuzzy Differential Equations [J] . K.Ivaz, A.Khastan, Juan J.Nieto Abstract and applied analysis . 2013,第16期

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3. Numerical solution of Fuzzy Hybrid Differential Equation by Third order Runge Kutta Nystrom Method Numerical solution of Fuzzy Hybrid Differential Equation by Third order Runge Kutta Nystrom Method [J] . N. Saveetha, S.Chenthur Pandian Mathematical Theory and Modeling . 2012,第4期

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4. Fuzzy Differential Equations via Representation Method of Fuzzy numbers and Fuzzy Differential Inclusions [C] . Norio SATOMI, Seiji SAITO 8th World Multi-Conference on Systemics, Cybernetics and Informatics(SCI 2004) vol.16 . 2004

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5. Generalized Monotone Iterative Techniques for Fractional Differential Equations with Boundary Conditions. [D] . Ramirez-Valdez, Juan Diego. 2012

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8. Minimax solutions for monotone systems of first-order nonlinear partial differential equations with time-measurable Hamiltonians [R] . Nguyen Duy Thai Son, Nguyen Dac Liem, Tran Duc Van 1995

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Monotone method for fuzzy differential equations

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